Nonlinear Dynamics

, Volume 77, Issue 3, pp 839–847 | Cite as

An extended two-lane traffic flow lattice model with driver’s delay time

  • Zhang Min
  • Sun Di-Hua
  • Tian Chuan
Original Paper


In this paper, a new two-lane lattice model is presented by considering the effect of drivers’ delay in sensing relative flux. By means of the linear stability analysis, the effect of drivers’ delay time on the stability of two-lane traffic flow is examined and shown that with the drivers’ delay time increasing, the unstable areas expand accordingly on the phase diagram, which is also confirmed by direct computer simulations. Through nonlinear analysis method, the modified Korteweg–deVries equation near the critical point is obtained and solved to describe the traffic- jamming transitions in a two-lane system.


Drivers’ delay time Two-lane lattice model MKdV equation Traffic flow 



This paper is supported by the Research Fund for the Doctoral Program of Higher Education of China (Grant No. 20090191110022) and Natural Science Foundation Project of CQ CSTC of China (Grant No. CSTC2012JJB40002) and Natural Science Foundation of Guangxi Zhuang Autonomous Region,China(Grant No.2013GXNSFAA019347).


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Copyright information

© Springer Science+Business Media Dordrecht 2014

Authors and Affiliations

  1. 1.College of Automation, Chongqing UniversityChongqingChina
  2. 2.Key Laboratory of Dependable Service Computing in Cyber Physical Society of the Ministry of EducationChongqing UniversityChongqingChina
  3. 3.School of Economics and Business AdministrationChongqing UniversityChongqingChina

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